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Zap. Nauchn. Sem. POMI, 2016, Volume 448, Pages 7–13 (Mi znsl6300)  

Announce of an entropy formula for a class of Gibbs measures

A. V. Alpeev

Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia

Abstract: An explicit formula is announced for the Rokhlin and sofic entropy of a class of actions of sofic groups generated by Gibbs measures.

Key words and phrases: sofic entropy, sofic group, Rokhlin entropy, generating partition, Gibbs measure, Dobrushin uniqueness condition.

Full text: PDF file (182 kB)
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English version:
Journal of Mathematical Sciences (New York), 2017, 224:2, 171–175

Bibliographic databases:

UDC: 517.987.5+519.248.22
Received: 16.09.2016

Citation: A. V. Alpeev, “Announce of an entropy formula for a class of Gibbs measures”, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Zap. Nauchn. Sem. POMI, 448, POMI, St. Petersburg, 2016, 7–13; J. Math. Sci. (N. Y.), 224:2 (2017), 171–175

Citation in format AMSBIB
\Bibitem{Alp16}
\by A.~V.~Alpeev
\paper Announce of an entropy formula for a~class of Gibbs measures
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 448
\pages 7--13
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6300}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3576246}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 2
\pages 171--175
\crossref{https://doi.org/10.1007/s10958-017-3403-7}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019740337}


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